ON A CLASS OF SOBOLEV FUNCTIONS AND ITS APPLICATIONS TO HIGHER-ORDER ELLIPTIC EQUATIONS

DOI10.1017/S1446788708000633zbMath1187.35044OpenAlexW2089244567MaRDI QIDQ3533821

Mamadou Sango

Publication date: 24 October 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000633

zbMATH Keywords

Sobolev spaceshigher-order elliptic equationsapproximate truncates

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35)

Cites Work

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• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Local behavior of solutions of quasi-linear equations
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Local bounds for solutions of higher order nonlinear elliptic partial differential equations
• Hölder continuity of solutions of elliptic systems
• Continuity of Solutions of Parabolic and Elliptic Equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• On harnack type inequalities and their application to quasilinear elliptic equations

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